Axisymmetric Indentation Of An Elastic Layer
On A Rigid Foundation With A Circular Hole
Author(s)
M. Sakamoto & K. Kobayashi
Abstract
The axisymmetric indentation problem of an elastic layer overlaid on a rigid
foundation with a circular hole is investigated. An infinite rigid punch is pressed
onto the upper surface of the elastic layer causing a small deformation mode. The
problem is equivalent to a mixed boundary-value problem of the
three-dimensional theory of elasticity, and an analytical solution is obtained
through an infinite system of simultaneous equations by expressing the normal
displacement in the circular hole as an appropriate series. Significant effects of
the layer thickness and circular hole on the stress fields are demonstrated with
numerical results.
Keywords: elasticity, contact problem, indentation, rigid punch, elastic layer,
theoretical analysis.
1 Introduction
Contact problems have attracted considerable attention due to possible
application to various important problems and have constituted one of the fields
in the theory of elasticity since the work of Hertz [1]. Hertz theory of contact has
been expanded by Boussinesq [2] and has been developed to important
applications by numerous authors. These problems are equivalent to mixed
boundary-value problems where stresses and displacements induce in an elastic
half-space. However, the mixed boundary-value problem of an elastic layer has
been dealt with in a relatively few publications. The axisymmetric indentation
problems of an elastic layer resting without friction on a rigid foundation, or
attached to a rigid foundation by a frictionless rigid punch, have been considered
Keywords
elasticity, contact problem, indentation, rigid punch, elastic layer,theoretical analysis.
Related Book
Other papers in this volume
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